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Finding the Fourth Proportional to 11,443.50, 15,792.98 and 6,408.88

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Solution

The fourth proportional to 11,443.50, 15,792.98 and 6,408.88 is: 8,844.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.50 : 15,792.98 = 6,408.88 : x
  2. Step 2: Convert to fraction form
    11,443.50/15,792.98 = 6,408.88/x
  3. Step 3: Cross multiply
    11,443.50x = 15,792.98 × 6,408.88
  4. Step 4: Simplify right side
    11,443.50x = 101,215,242.14
  5. Step 5: Solve for x
    x = 101,215,242.14/11,443.50
  6. Step 6: Final answer
    x = 8,844.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.